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    An experimental and thermodynamic study of cymrite and celsian stability in the system BaO-Al2O3-SiO2-H2O
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    The thermodynamics of a system composed of a substrate, a deposit, and an adsorbed layer is considered with a lattice model in the framework of Gibbs ensemble statistics. Expressions for the thermodynamic functions (free energy, chemical potential, etc.) are derived. The thermodynamic condition for equilibrium in such a multicomponent multiphase system (equality of chemical potentials of each component in all phases), combined with the requirement of minimal free energy, leads to a criterion for stability of the two-dimensional (2D) phase of the deposit. It is shown that an adsorbate could invert the relative thermodynamic stability of both possible deposit phases. It is found also that the adsorbate drastically influences the chemical potential of the 2D phase, and on whatever substrate it becomes practically equal to the chemical potential of the bulk phase at high adsorbate coverages. The influence of the foreign substrate on the layerwise separation in the adlayer is discussed, along with some peculiarities that arise, by defining surface and interfacial free energies of the thin films.
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